| Issue |
Europhys. Lett.
Volume 56, Number 3, November 2001
|
|
|---|---|---|
| Page(s) | 379 - 385 | |
| Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
| DOI | https://doi.org/10.1209/epl/i2001-00530-3 | |
| Published online | 01 December 2003 | |
The Lagrangian view of energy transfer in turbulent flow
1
INLN, 1361 route des Lucioles - F-06560,
Valbonne, France
2
Bell Labs, Lucent Technologies - 700
Mountain Ave, Murray Hill, NJ 07974, USA
3
CNLS and T-13, Theoretical Division,
LANL - Los Alamos, NM 87545, USA
Received:
18
July
2001
Accepted:
9
August
2001
Hydrodynamic turbulence in 3D is characterized by a non-linear transfer of energy from large to small scales. Here, we provide a geometrical view of energy transfer by relating it to the deformation of fluid volumes under Lagrangian dynamics. The energy flux is parametrized in terms of the coarse-grained velocity difference tensor together with the tensor describing the shape of the volume. Our construction provides an intepretation for the non-trivial time dependence of the energy of relative motion within a "cloud" of Lagrangian particles observed in the direct numerical simulation turbulence.
PACS: 47.27.-i – Turbulent flows, convection, and heat transfer / 47.27.Qb – Turbulent diffusion / 02.50.-r – Probability theory, stochastic processes, and statistics
© EDP Sciences, 2001
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